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A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS

Published online by Cambridge University Press:  04 March 2019

YATIR HALEVI ,
ASSAF HASSON  and
FRANZISKA JAHNKE
YATIR HALEVI
Affiliation:
DEPARTMENT OF MATHEMATICS BEN GURION UNIVERSITY OF THE NEGEV BE’ER SHEVA8410501, ISRAELE-mail: yatirbe@post.bgu.ac.ilURL: http://ma.huji.ac.il/∼yatirh/
ASSAF HASSON
Affiliation:
DEPARTMENT OF MATHEMATICS BEN GURION UNIVERSITY OF THE NEGEV BE’ER SHEVA8410501, ISRAEL E-mail: hassonas@math.bgu.ac.ilURL: http://www.math.bgu.ac.il/∼hasson/
FRANZISKA JAHNKE
Affiliation:
WESTFÄLISCHE WILHELMS-UNIVERSITÄT MÜNSTER INSTITUT FÜR MATHEMATISCHE LOGIK UND GRUNDLAGENFORSCHUNG EINSTEINSTR. 62, 48149MÜNSTER, GERMANYE-mail: franziska.jahnke@uni-muenster.de
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Abstract

We survey the history of Shelah’s conjecture on strongly dependent fields, give an equivalent formulation in terms of a classification of strongly dependent fields and prove that the conjecture implies that every strongly dependent field has finite dp-rank.

Keywords

03C4512L12Shelah’s conjecturestrong dependencevalued fieldsNIP
Type
Articles
Information
Bulletin of Symbolic Logic , Volume 25 , Issue 2 , June 2019 , pp. 182 - 195
Copyright
Copyright © The Association for Symbolic Logic 2019 

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